TY - JOUR
T1 - Mod p decompositions of gauge groups
AU - Kishimoto, Daisuke
AU - Kono, Akira
AU - Tsutaya, Mitsunobu
PY - 2013
Y1 - 2013
N2 - We give mod p decompositions of homotopy types of the gauge groups of principal bundles over spheres, which are compatible with mod p decompositions of Lie groups given by Mimura, Nishida and Toda. As an application, we also give some computations on the homotopy types of gauge groups. In particular, we show the p-local converse of the result of Sutherland on the classifications of the gauge groups of principal SU(n)-bundles.
AB - We give mod p decompositions of homotopy types of the gauge groups of principal bundles over spheres, which are compatible with mod p decompositions of Lie groups given by Mimura, Nishida and Toda. As an application, we also give some computations on the homotopy types of gauge groups. In particular, we show the p-local converse of the result of Sutherland on the classifications of the gauge groups of principal SU(n)-bundles.
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U2 - 10.2140/agt.2013.13.1757
DO - 10.2140/agt.2013.13.1757
M3 - Article
AN - SCOPUS:84877983187
SN - 1472-2747
VL - 13
SP - 1757
EP - 1778
JO - Algebraic and Geometric Topology
JF - Algebraic and Geometric Topology
IS - 3
ER -